2240300880 has 120 divisors (see below), whose sum is σ = 7608430440. Its totient is φ = 590684160.

The previous prime is 2240300873. The next prime is 2240300899. The reversal of 2240300880 is 880030422.

It can be written as a sum of positive squares in 4 ways, for example, as 25280784 + 2215020096 = 5028^2 + 47064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46600 + ... + 81560.

It is an arithmetic number, because the mean of its divisors is an integer number (63403587).

Almost surely, 2^2240300880 is an apocalyptic number.

2240300880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240300880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804215220).

2240300880 is an abundant number, since it is smaller than the sum of its proper divisors (5368129560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2240300880 is a wasteful number, since it uses less digits than its factorization.

2240300880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35069 (or 35060 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2240300880 is about 47331.8167832168. The cubic root of 2240300880 is about 1308.4851046926.

The spelling of 2240300880 in words is "two billion, two hundred forty million, three hundred thousand, eight hundred eighty".